If a project costs $50,000 and is expected to return ​$10,000 ​annually, how long does it take to recover the initial​ investment? What would be the discounted payback period at i=18​%? Assume that the cash flows occur continuously throughout the year.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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If a project costs $50,000 and is expected to return ​$10,000 ​annually, how long does it take to recover the initial​ investment? What would be the discounted payback period at i=18​%? Assume that the cash flows occur continuously throughout the year.

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Introduction

Given that;

Cost of the project=$50,000

Expected return=$10,000

interest =18%

The payback period is the amount of time needed for an investor to break even or to recover the cost of their investment. Although more restrictive compensations are indicative of more interesting ventures, longer payback times are less tempting.

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